225 research outputs found
Static anti-windup compensator design for locally Lipschitz systems under input and output delays
This paper proposes a static anti-windup compensator (AWC) design methodology for the locally Lipschitz nonlinear systems, containing time-varying interval delays in input and output of the system in the presence of actuator saturation. Static AWC design is proposed for the systems by considering a delay-range-dependent methodology to consider less conservative delay bounds. The approach has been developed by utilizing an improved Lyapunov-Krasovskii functional, locally Lipschitz nonlinearity property, delay-interval, delay derivative upper bound, local sector condition, L2 gain reduction from exogenous input to exogenous output, improved Wirtinger inequality, additive time-varying delays, and convex optimization algorithms to obtain convex conditions for AWC gain calculations. In contrast to the existing results, the present work considers both input and output delays for the AWC design (along with their combined additive effect) and deals with a more generic locally Lipschitz class of nonlinear systems. The effectiveness of the proposed methodology is demonstrated via simulations for a nonlinear DC servo motor system, possessing multiple time-delays, dynamic nonlinearity and actuator constraints
Control of Systems with Limited Capacity
Virtually all real life systems are such that they present some kind of limitation on one or many of its variables, physical quantities. These systems are designated in this thesis as systems with limited capacity. This work is treating control related problems of a subclass of such systems, where the limitation is a critical factor. The thesis is composed of four parts. The first part is treating the control of tire slip in a braking car. The Anti-lock Braking System (ABS) is an important component of a complex steering system for the modern car. In the latest generation of brake-by-wire systems, the controllers have to maintain a specified tire slip for each wheel during braking. This thesis proposes a design model and based on that a hybrid controller that regulates the tire-slip. Simulation and results from drive tests are presented. In the second part, a design method for robust PID controllers is presented for a class of systems with limited capacity. Robustness is ensured with respect to a cone bounded static nonlinearity acting on the plant. Additional constraints on maximum sensitivity are also considered. The design procedure has been successfully applied in the synthesis of the proposed ABS controller. The third part studies the trajectory convergence for a general class of nonlinear systems. The servo problem for piecewise linear systems is presented. Convex optimization is used to describe the behavior of system trajectories of a piecewise linear system with respect to some input signals. The obtained results are then applied for the study of anti-windup compensators. The last part of the thesis is treating the problem of voltage stability in power systems. Voltage at the load end of a power system has to be controlled within prescribed tolerances. In case of emergencies such as sudden line failures, this task ca n be very challenging. The main contribution of this chapter is a method for improving the stability properties of the power system by dynamic compensation of the reference load voltage. Moreover, a complete compensation scheme is proposed where load shedding is the secondary control variable. This control scheme is shown to stabilize different power system models
Static anti-windup synthesis for linear systems with time-varying input delays
International audienceThis article considers the design of an anti-windup compensator for linear systems subject to time-varying input delays and saturating actuators. Local and global stabilization conditions ensuring both external as well as internal stability of the closed-loop system are derived directly as linear matrix inequalities (LMIs). To compute the anti-windup gains, these conditions are cast into the following optimization problems: maximization of the set of admissible initial conditions, maximization of the bound of admissible L2 disturbances or the maximization of the L2-gain from the disturbance to the regulated output. Simulation examples are provided to illustrate the proposed solution
Digital repetitive control under varying frequency conditions
Premi extraordinari doctorat curs 2011-2012, àmbit d’Enginyeria IndustrialThe tracking/rejection of periodic signals constitutes a wide field of research in the control theory and applications area and
Repetitive Control has proven to be an efficient way to face this topic; however, in some applications the period of the signal to
be tracked/rejected changes in time or is uncertain, which causes and important performance degradation in the standard
repetitive controller. This thesis presents some contributions to the open topic of repetitive control working under varying
frequency conditions. These contributions can be organized as follows:
One approach that overcomes the problem of working under time varying frequency conditions is the adaptation of the
controller sampling period, nevertheless, the system framework changes from Linear Time Invariant to Linear Time-Varying
and the closed-loop stability can be compromised. This work presents two different methodologies aimed at analysing the
system stability under these conditions. The first one uses a Linear Matrix Inequality (LMI) gridding approach which provides
necessary conditions to accomplish a sufficient condition for the closed-loop Bounded Input Bounded Output stability of the
system. The second one applies robust control techniques in order to analyse the stability and yields sufficient stability
conditions. Both methodologies yield a frequency variation interval for which the system stability can be assured. Although
several approaches exist for the stability analysis of general time-varying sampling period controllers few of them allow an
integrated controller design which assures closed-loop stability under such conditions. In this thesis two design
methodologies are presented, which assure stability of the repetitive control system working under varying sampling period
for a given frequency variation interval: a mu-synthesis technique and a pre-compensation strategy.
On a second branch, High Order Repetitive Control (HORC) is mainly used to improve the repetitive control performance
robustness under disturbance/reference signals with varying or uncertain frequency. Unlike standard repetitive control, the
HORC involves a weighted sum of several signal periods. With a proper selection of the associated weights, this high order
function offers a characteristic frequency response in which the high gain peaks located at harmonic frequencies are
extended to a wider region around the harmonics. Furthermore, the use of an odd-harmonic internal model will make the
system more appropriate for applications where signals have only odd-harmonic components, as in power electronics
systems. Thus an Odd-harmonic High Order Repetitive Controller suitable for applications involving odd-harmonic type
signals with varying/uncertain frequency is presented. The open loop stability of internal models used in HORC and the one
presented here is analysed. Additionally, as a consequence of this analysis, an Anti-Windup (AW) scheme for repetitive
control is proposed. This AW proposal is based on the idea of having a small steady state tracking error and fast recovery
once the system goes out of saturation.
The experimental validation of these proposals has been performed in two different applications: the Roto-magnet plant and
the active power filter application. The Roto-magnet plant is an experimental didactic plant used as a tool for analysing and
understanding the nature of the periodic disturbances, as well as to study the different control techniques used to tackle this
problem. This plant has been adopted as experimental test bench for rotational machines. On the other hand, shunt active
power filters have been widely used as a way to overcome power quality problems caused by nonlinear and reactive loads.
These power electronics devices are designed with the goal of obtaining a power factor close to 1 and achieving current
harmonics and reactive power compensation.Award-winningPostprint (published version
multiclass aQM on a tCP/IP router: a control theory approach
Producción CientíficaActive queue management (AQM) is a well-known technique to improve routing performance under congested traffic conditions. It is often deployed to regulate queue sizes, thus aiming for constant transmission delay. This work addresses AQM using an approach based on control theory ideas. Compared with previous results in the literature, the novelty is the consideration of heterogeneous traffic, ie, multiclass traffic. Thus, each traffic class may have different discarding policies, queue sizes, and bandwidth share. This feature brings the proposal nearer to real network management demands than previous approaches in the literature. The proposed technique assumes that each class already has a simple controller, designed a priori, and focuses on designing a static state-feedback controller for the multiclass system, where the design is based on using LMIs for the calculations. For this, optimization problems with LMI constraints are proposed to compute the state-feedback gains that ensure stability for a large set of admissible initial conditions. These conditions ensure not only closed-loop stability but also some level of performance. As far as we know, this is the first control theory based approach for the AQM problem on TCP/IP routers that allows a multiclass AQM while also considering time-varying delays and input saturation. This is an important step to frame AQM in a more formal, yet realistic context, enabling it to address important service level agreement (SLA) directives. The proposal is tested on a simulated system at the end of this paper, showing the feasibility and performance of the approach in the presence of multiclass traffic.Junta de Castilla y León y FEDER. Grant Numbers: CLU 2017-09, UIC 23
Robust Antiwindup Compensation for High-Precision Tracking of a Piezoelectric Nanostage
Ultrahigh-precision tracking in nanomanipulations poses major challenges for mechanical design as well as servo control, due to the general confliction between the precision requirement and large stroke tracking. The situation is further complicated by input saturation, which is almost inevitable for microactuators. This paper presents a novel control architecture combining a parallel internal-model-based tracking design and a robust antiwindup control structure, such that asymptotic tracking can be achieved for nanoservo systems in the presence of saturation nonlinearity and model uncertainties. For the augmented system with internal-model dynamics, an I/O-based equivalent representation from control (free of saturation) to system output is derived by incorporating the dead-zone nonlinearity, saturation compensation blocks, as well internal-model units. The robustness condition on the saturation compensator is also derived based on the sector bound criterion and an H∞-optimal design is developed accordingly. The proposed robust antiwindup tracking control architecture is deployed on a customize-designed nanostage driven by a piezoelectric (PZT) actuator, where numerical simulations and real-time experiments demonstrate excellent tracking performance and saturation compensation capability, achieving tracking precision error less than 0.23%. © 1982-2012 IEEE
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